What is the Greatest Common Factor of 26364 and 26377?

Greatest common factor (GCF) of 26364 and 26377 is 13.

GCF(26364,26377) = 13

We will now calculate the prime factors of 26364 and 26377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26364 and 26377.

How to find the GCF of 26364 and 26377?

We will first find the prime factorization of 26364 and 26377. After we will calculate the factors of 26364 and 26377 and find the biggest common factor number .

Step-1: Prime Factorization of 26364

Prime factors of 26364 are 2, 3, 13. Prime factorization of 26364 in exponential form is:

26364 = 2² × 3¹ × 13³

Step-2: Prime Factorization of 26377

Prime factors of 26377 are 13, 2029. Prime factorization of 26377 in exponential form is:

26377 = 13¹ × 2029¹

Step-3: Factors of 26364

List of positive integer factors of 26364 that divides 26364 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028, 2197, 4394, 6591, 8788, 13182

Step-4: Factors of 26377

List of positive integer factors of 26377 that divides 26364 without a remainder.

1, 13, 2029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26364 and 26377. The biggest common factor number is the GCF number.
So the greatest common factor 26364 and 26377 is 13.

Also check out the Least Common Multiple of 26364 and 26377